Fuzzy Fractional Differential Operators and Equations - Allahviranloo, Tofigh

. .

Résumé :
This book contains new and useful materials concerning fuzzy fractional differential and integral operators and their relationship. As the title of the book suggests, the fuzzy subject matter is one of the most important tools discussed. Therefore, it begins by providing a brief but important and new description of fuzzy sets and the computational calculus they require. Fuzzy fractals and fractional operators have a broad range of applications in the engineering, medical and economic sciences. Although these operators have been addressed briefly in previous papers, this book represents the first comprehensive collection of all relevant explanations. Most of the real problems in the biological and engineering sciences involve dynamic models, which are defined by fuzzy fractional operators in the form of fuzzy fractional initial value problems. Another important goal of this book is to solve these systems and analyze their solutions both theoretically and numerically. Given the content covered, the book will benefit all researchers and students in the mathematical and computer sciences, but also the engineering sciences.

Biographie:
Muammer Catak, PhD College of Engineering and Technology, American University of the Middle East, Kuwait, Muammer Catak is a faculty member of Electrical Engineering Department at College of Engineering and Technology, American University of the Middle East, Kuwait. He received his BSc in Electrical and Electronics Engineering from the Middle East Technical University, Turkey in 2004, the MSc in Telecommunication and Signal Processing, Blekinge Technical Institute, Sweden in 2006, the Ph.D. in Stochastic Modelling and Simulation from Process Engineering, University College Cork, Ireland in 2010. He got his Associate Professorship degree in the subject of Signal Processing / Electrical and Electronics Engineering, in 2017. His main research interests include stochastic signal processing, random processes, and Markov chains. Tofigh Allahviranloo, PhD Tofigh Allahviranloo is a Professor of Applied Mathematics at Istinye University in Istanbul, T?rkiye. An accomplished mathematician and computer scientist, Prof. Allahviranloo is sincerely dedicated to multi- and interdisciplinary research efforts. His expertise lies primarily in fundamental research in applied fuzzy mathematics, with a special focus on dynamical systems and pioneering applications in applied biological and computer sciences.As of 2024, Prof. Allahviranloo has made significant scientific contributions, including authoring over 15 international books in English and 10 books in Farsi, as well as about 500 publications with renowned publishers such as Elsevier, Springer, Wiley, and Taylor & Francis. He has published more than 250 peer-reviewed journal papers over the past 15 years.He is the editor-in-charge of the book series 'Uncertainty, Computational Techniques and Decision Intelligence' published by ELSEVIER. In addition to his extensive writing activities, Prof. Allahviranloo plays an important role in the academic community as Associate Editor and Editorial Board Member of several prestigious journals. These include 'Information Sciences (ELSEVIER)', 'Fuzzy Sets and Systems (ELSEVIER)', 'Iranian Journal of Fuzzy Systems', 'Mathematical Sciences (Springer)', 'Journal of Mathematics and Computer Science (ISRP)' and 'Journal of Computational Methods for Differential Equations (University of Tabriz)'. He is currently Editor-in-Chief of &lsquo...

Sommaire:
This book contains new and useful materials concerning fuzzy fractional differential and integral operators and their relationship. As the title of the book suggests, the fuzzy subject matter is one of the most important tools discussed. Therefore, it begins by providing a brief but important and new description of fuzzy sets and the computational calculus they require. Fuzzy fractals and fractional operators have a broad range of applications in the engineering, medical and economic sciences. Although these operators have been addressed briefly in previous papers, this book represents the first comprehensive collection of all relevant explanations. Most of the real problems in the biological and engineering sciences involve dynamic models, which are defined by fuzzy fractional operators in the form of fuzzy fractional initial value problems. Another important goal of this book is to solve these systems and analyze their solutions both theoretically and numerically. Given the content covered, the book will benefit all researchers and students in the mathematical and computer sciences, but also the engineering sciences....